Table 1 Comparison of Variables Included in Previous Econometric Crop Yield Modeling Research for Corn and Soybeans.

From: A Bio-Economic Crop Yield Response (BECYR) Model for Corn and Soybeans in Ontario, Canada for 1959–2013

 

Studied Crops, Time Periods, and Regions

Estimation Method and Functional Form

Variables Included

Weather

Price

Technology

CO2

Land Quality

Groundwater Level

This Paper

Corn & Soybeans 1950–2013: 29 counties in Ontario, Canada

Ordinary Least Squares (OLS) method Quadratic functional form

√ (FE/cropland area)

√ (FE/GW level)

Houck & Gallagher (1976)

Corn 1951–1971: US

OLS method Linear functional form

 

√ (Cropland area)

 

Kaufmann & Snell (1997)

Corn 1969,1974,1978,1982, and 1987: counties in 8 states in the US

OLS method Quadratic functional form for weather

 

 

√ (Cropland area)

 

Rickard & Fox (1999)

Corn

1889–1995: Ontario, Canada

OLS method Log-linear functional form Quadratic functional form

 

√ (Cropland area)

 

Schlenker & Roberts (2009)

Corn, Soybeans

1950–2005: counties on the east of the 100° meridian in the US

Nonparametric method

Step functional form for heat

8th degree Polynomial for heat

Piecewise linear functional form for heat

Quadratic functional form for time trend

 

 

√ (FE)

√ (FE)

Cabas et al. (2010)

Corn, Soybeans 1981–2006: 8 counties in southwestern Ontario, Canada

Feasible Generalize Least Square method Just and Pope production function

 

 

√ (FE)

√ (FE)

Tolhurst & Alan (2015)

Corn, Soybeans

1955–2011: counties in Illinois, Indiana, and Iowa, US

Nonparametric method Quadratic functional form for precipitation

 

   

Miao et al. (2016)

Corn & Soybeans 1977–2007: counties on the east of the 100° meridian in US

Instrumental Variable method Quadratic functional form

 

√ (FE)

√ (FE)

  1. FE represents the county fixed effect. It is commonly used to estimate the county specific effect on crop yields, such as land quality. Groundwater level could be included in the county fixed effect, but it is not explicitly mentioned in past studies.